Compute the height-wise wind pressure distribution from design wind speed, exposure category and building shape in real time. Visualizes base shear and overturning moment for structural review.
$$q = \frac{1}{2}\rho V^2,\quad F = q \cdot A \cdot C_f$$
動圧 [Pa] と風荷重 [N]:$A$ 受圧面積 [m²]、$C_f$ 風力係数
What is Wind Load Analysis?
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What exactly is "wind pressure distribution"? I see the building in the simulator has different colored bands.
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Basically, it's how the push from the wind changes as you go up a building. The wind isn't the same strength at the ground as it is at the roof. In practice, it increases with height because there's less friction from the ground and surrounding objects. The colored bands in the simulator show this pressure gradient—darker red means higher pressure.
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Wait, really? So the wind speed at the top is always faster? What controls how much faster it gets?
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Great question! That's exactly what the "Exposure Category" slider in the simulator controls. It describes the roughness of the terrain around the building. For instance, an "Open" category over flat fields has less friction, so wind speed increases more gradually with height. A "Dense Urban" area with many buildings creates a lot of drag near the ground, so the speed increases much more dramatically as you go up. Try moving the slider and watch how the pressure profile changes shape.
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Okay, I see the pressure changes. But what's "base shear force" that the simulator calculates? Is that the total force?
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Exactly! The base shear is the total horizontal push the building's foundation must resist. It's the sum of all those individual wind pressures acting on each level of the building. A common case is designing the anchor bolts for a skyscraper's foundation—they have to be strong enough to handle this total shear force. When you change the exposure category, you're not just changing the pressure pattern, you're directly affecting this total force that the entire structure must be designed for.
Physical Model & Key Equations
The wind speed at any height, $z$, is calculated using the Power Law. This model accounts for how terrain roughness slows wind near the ground.
$V(z)$ : Wind speed at height $z$ (m/s). $V_0$: Design wind speed at a reference height (m/s). $z_{\text{ref}}$: Reference height, typically 10 meters. $\alpha$: Wind shear exponent. This is the key parameter set by the Exposure Category: 0.15 for Open Terrain, 0.22 for Suburban, 0.30 for Dense Urban.
The wind pressure is then found from the wind speed. Pressure is proportional to the square of the speed, which is why it increases so rapidly with height.
$p$: Wind pressure (Pa or N/m²). $q$ : Velocity pressure, $ \frac{1}{2} \rho V^2 $. $\rho$: Air density (approx. 1.225 kg/m³). $C_p$: Pressure coefficient, which depends on the building's shape (e.g., windward vs. leeward face).
Real-World Applications
High-Rise Building Design: Structural engineers use this exact analysis to size columns, beams, and the lateral force-resisting system (like shear walls or braces). The calculated base shear determines the strength needed for the building's core and foundations to prevent overturning or sliding.
Wind Turbine Tower Analysis: The tower supporting massive turbine blades is a tall, slender structure highly sensitive to wind. Engineers calculate the varying wind load up the tower to design against fatigue and ensure the structure can withstand extreme gusts over its decades-long lifespan.
Signboard & Billboard Safety: Large roadside signs act as sails catching the wind. Accurate pressure distribution calculations are crucial for designing the support posts and anchorages to prevent catastrophic failure during storms, which is a matter of public safety.
Cladding & Curtain Wall Design: The outer skin of a building must withstand localized wind pressures. This analysis helps specify the strength of glass panels, window frames, and attachment points to prevent them from being sucked out or pushed in, which is critical for both safety and weather-tightness.
Common Misconceptions and Points to Note
When you start using this tool, there are a few key points to keep in mind. First is the "Setting of Design Wind Speed". This is not the "maximum wind speed anticipated for the region," but rather the "standard wind speed for design, determined based on the importance and use of the structure". For example, even in the same location, a warehouse and a hospital require different levels of safety, so their design wind speeds will differ. Before inputting values into the tool, make sure to verify the correct value using the applicable building codes or guidelines.
Next is the "Magic of the Wind Pressure Coefficient (Cp)". The tool only lets you select a shape, but in practice, Cp changes in complex ways depending on the detailed shape of the building and wind direction. For instance, the pressure on the corners of a square prism can be more than 1.5 times higher locally than on a flat surface. The results from this tool are strictly an initial value for grasping overall trends; for detailed design, you'll need to obtain precise distributions through wind tunnel testing or CFD analysis.
Finally, "Insufficient Consideration of Dynamic Response". This tool calculates wind as a "static pressure." However, actual tall buildings or slender chimneys can be shaken by the wind, causing "sway." This sway can generate additional forces through a phenomenon called "wind-induced vibration." For example, a building with a period of several seconds can resonate with wind fluctuations, leading to unexpectedly large responses. Remember that in some cases, evaluating dynamic characteristics is necessary, not just relying on static wind loads.
Enter design wind speed (V0) in m/s using the slider or text field—typical values range from 40–60 m/s for hurricane-prone regions.
Set gust factor (Gf) between 1.2–1.4; higher values apply to flexible structures like communication towers.
Input building height (H) in meters and width (B) in meters to define exposure category and tributary area.
The calculator computes pressure profile qz = 0.613 × V0² × Gf × z^0.16 Pa and integrates across height to yield base shear force (kN) and overturning moment (kN·m).
Worked Example
For a rectangular warehouse in exposure category C: V0 = 50 m/s, Gf = 1.25, H = 15 m, B = 20 m. Dynamic pressure at midheight: qz = 0.613 × 2500 × 1.25 × (7.5)^0.16 ≈ 1.85 kPa. Total base shear ≈ 550 kN; overturning moment ≈ 4,125 kN·m at foundation. Concrete pad design load: 2,200 kN distributed across 400 m² footprint.
Practical Notes
Wind speed increases with terrain roughness; use V0 = 42 m/s for open flat terrain, 55 m/s for urban–suburban zones per ASCE 7.
Gust factor Gf = 1.15 suits rigid structures (steel frames); increase to 1.40 for slender lattice towers or fabric canopies.
Overturning moment controls foundation design and lateral bracing; cross-wind vortex shedding on rectangular profiles amplifies moment by 15–25%.
Height exponent 0.16 reflects boundary-layer logarithmic profile; verify against local building codes (IBC, EN 1991-1-4).